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Finding the Fourth Proportional to 242,635.32, 363,948.66 and 102,395.16

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Solution

The fourth proportional to 242,635.32, 363,948.66 and 102,395.16 is: 153,590.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,635.32 : 363,948.66 = 102,395.16 : x
  2. Step 2: Convert to fraction form
    242,635.32/363,948.66 = 102,395.16/x
  3. Step 3: Cross multiply
    242,635.32x = 363,948.66 × 102,395.16
  4. Step 4: Simplify right side
    242,635.32x = 37,266,581,272.49
  5. Step 5: Solve for x
    x = 37,266,581,272.49/242,635.32
  6. Step 6: Final answer
    x = 153,590.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.